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arXiv · 0707.3408

On a Gibbs characterization of normalized generalized Gamma processes

Annalisa Cerquetti
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Abstract

We show that a Gibbs characterization of normalized generalized Gamma processes, recently obtained in Lijoi, Prünster and Walker (2007), can alternatively be derived by exploiting a characterization of exponentially tilted Poisson-Kingman models stated in Pitman (2003). We also provide a completion of this result investigating the existence of normalized random measures inducing exchangeable Gibbs partitions of type $α\in (-\infty, 0]$.

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Annalisa Cerquetti. 2007-07-23. On a Gibbs characterization of normalized generalized Gamma processes. https://doi.org/10.1016/j.spl.2008.05.027

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